SAT College

Create all of the possible arrays for modeling a rectangular quilt with
the 24 paper squares. Write an equation to accompany each array.
You can use the attached pre-made quilt squares by cutting and
pasting them, or you can draw the arrays with your own designs on a
separate sheet of paper?

Answers

Answer 1

An equation to accompany each array is as follows;

(r³ - 3) × 1 = 24, (r² + 3) × 2 = 24, (r² - 1 ) × 3 = 24, (r² - 3 ) × 4 = 24, (r) × 8 = 24, (r - 1 ) × 12 = 24, and (r - 2) × 12 = 24 where, r = 3.

How to model a rectangular array?

The rectangular array will be considered as rows.

Now, when we take the first side as the length represented by L and the second side as the width represented by W.

Area of a rectangle is given by the formula;

Area = length * width

Area = L * W

We are modeling a rectangular quilt with the 24 paper squares and as such the total area of the quilt is 24 squares which means;

24 × 1 = 24

All squares are arranged in a single row;

(r³ - 3) × 1 = 24

12 × 2 = 24

12 squares arranged in 2 rows.

(r² + 3) × 2 = 24

8 × 3 = 24

8 squares arranged in 3 rows.

(r² - 1 ) × 3 = 24

6 × 4 = 24

6 squares arranged in 4 rows.

(r² - 3 ) × 4 = 24

3 × 8 = 24

3 squares arranged in 8 rows.

(r) × 8 = 24

2 × 12 = 24

2 squares arranged in 12 rows.

(r - 1 ) × 12 = 24

1 × 24 = 24

1 square arranged in 24 rows.

(r - 2) × 12 = 24

In all of the above r = 3.

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Related Questions

How does good health contribute to career success?

Answers

Answer: Good physical health not only keeps diseases at bay, but also improves brain function, energy levels, self-confidence, and innovation. All of these open the door to success and assist you in achieving your life objectives.

Answer:

you live healthier and longer

Explanation:

Question 6 of 20
Signs of test.
include insomnia, headaches, and panic.
OA. exhilaration
O B. anxiety
O C. depression
OD. fatigue

Answers

Answer:

B. Anxiety

Explanation:

6. Hair grows at an average rate of 0.5 inches per
month. Courtney refused to cut her hair from the
time she was 8 years old until she was 20 years
old. If Courtney's hair grew at the average rate,
approximately how many inches did her hair grow
during the time she refused to cut her hair?
F. 4
G. 6
H. 14
J. 72
K. 78

Answers

Answer:

96 inches

Explanation:

20 - 8 = 16 years of growth

16 x 12 = 192 months

192 x 0.5 inches = 96 inches

Explain the difference between personal traits and interpersonal skills.

Answers

Answer:

Although both sets of qualities are necessary to succeed, a personal trait is a part of your character, analogous to your attitude and how you see and interact with the world at large. Interpersonal skills are the behaviors and tools that you actually use to deal with other people.

Explanation:

what are the conditions to obtain internally valid causal estimates from a randomized evaluation?*

Answers

Internal validity examines if the planning, carrying out, and analysis of the study yield objective solutions to the research objectives.

What is internal validity?

Internal validity is defined as the level of assurance that the causal link you are evaluating is not affected by additional variables or circumstances. As a result of ignoring confounding factors, high internal validity enables the researcher to select one explanation over another with sufficient confidence.

When three conditions are met the "cause" precedes the "effect" in time, the "cause" and the "effect" tend to occur together, and a valid causal inference may be drawn. There aren't any logical alternatives to the observed covariation.

Thus, internal validity tests whether the study's planning, execution, and analysis provide unbiased answers to the research objectives.

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